Details

Time bar (total: 1.2s)

analyze40.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
50%50%0.1%6
68.7%31.2%0.1%7
81.2%18.7%0.1%8
89%10.9%0.1%9
92.1%7.8%0.1%10
95.6%4.3%0.1%11
96.4%3.5%0.1%12
98%1.9%0.1%13
98.2%1.7%0.1%14

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
048899
148899

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (/ y (- x y)))
0.0b
(/ y (- x y))
8.6b
(* x (* 2.0 (/ y (- x y))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
24×add-cube-cbrt
22×associate-*r*
19×add-exp-log add-cbrt-cube
10×pow1
7×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
6×associate-*l*
5×associate-/r*
4×pow-prod-down associate-/r/
3×cbrt-undiv associate-*r/ div-exp associate-/l* add-log-exp
2×flip3-- *-commutative flip-- div-inv unswap-sqr
1×frac-2neg clear-num
Counts
3 → 98
Calls
3 calls:
9.0ms
(* 2.0 (/ y (- x y)))
5.0ms
(/ y (- x y))
9.0ms
(* x (* 2.0 (/ y (- x y))))

series23.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* 2.0 (/ y (- x y)))
5.0ms
(/ y (- x y))
11.0ms
(* x (* 2.0 (/ y (- x y))))

simplify44.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05793891

prune84.0ms

Filtered
72 candidates to 107 candidates (-48.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1052107
Fresh011
Picked011
Done000
Total1054109

Merged error: 0.0b

Counts
109 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

15.5b
(/ (* (* x 2.0) y) (- x y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/r*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/r/ distribute-lft-out-- difference-of-squares
1×pow1 flip3-- frac-2neg clear-num flip-- div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
8.0ms
(/ (* (* x 2.0) y) (- x y))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(/ (* (* x 2.0) y) (- x y))

simplify38.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
06261313

prune49.0ms

Filtered
22 candidates to 32 candidates (-45.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New29332
Fresh202
Picked011
Done011
Total31536

Merged error: 0b

Counts
36 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x y) -1)
9.2b
(/ (* x 2.0) (+ (/ x y) -1))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
10×*-un-lft-identity
9×times-frac
7×add-exp-log add-cbrt-cube
6×difference-of-sqr--1 associate-/r*
4×add-cube-cbrt add-log-exp
3×distribute-lft-out
2×pow1 cbrt-undiv flip3-+ div-exp associate-/r/ flip-+
1×+-commutative frac-2neg prod-exp clear-num sum-log cbrt-unprod div-inv associate-/l*
Counts
2 → 43
Calls
2 calls:
8.0ms
(+ (/ x y) -1)
9.0ms
(/ (* x 2.0) (+ (/ x y) -1))

series10.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(+ (/ x y) -1)
7.0ms
(/ (* x 2.0) (+ (/ x y) -1))

simplify23.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
04963460
14963460

prune50.0ms

Filtered
35 candidates to 49 candidates (-40.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New49049
Fresh022
Picked011
Done022
Total49554

Merged error: 0b

Counts
54 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- x y) (* x (* 2.0 y))))
15.7b
(/ (- x y) (* x (* 2.0 y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
45×add-exp-log
34×add-sqr-sqrt *-un-lft-identity
25×add-cbrt-cube
22×add-cube-cbrt
20×div-exp
12×prod-exp
10×cbrt-undiv associate-/r*
8×associate-/l*
6×cbrt-unprod div-inv distribute-lft-out-- difference-of-squares
4×rec-exp 1-exp
3×pow1
2×frac-2neg clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub associate-/r/ flip-- inv-pow
Counts
2 → 98
Calls
2 calls:
10.0ms
(/ 1 (/ (- x y) (* x (* 2.0 y))))
8.0ms
(/ (- x y) (* x (* 2.0 y)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ 1 (/ (- x y) (* x (* 2.0 y))))
7.0ms
(/ (- x y) (* x (* 2.0 y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050011229

prune78.0ms

Filtered
59 candidates to 104 candidates (-76.3%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1031104
Fresh101
Picked011
Done033
Total1045109

Merged error: 0b

Counts
109 → 5

regimes147.0ms

Accuracy

91.8% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 7.2b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05468
15468

end0.0ms

sample323.0ms

Algorithm
intervals
Results
207.0ms8000×body80valid

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